Apostila eletronica de potencia

Robot Modeling and Control

First Edition

Mark W. Spong, Seth Hutchinson, and M. Vidyasagar

JOHN WILEY & SONS, INC.
New York / Chichester / Weinheim / Brisbane / Singapore / Toronto

Preface

TO APPEAR

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Contents

Preface TABLE OF CONTENTS 1 INTRODUCTION 1.1 Mathematical Modeling of Robots 1.1.1 Symbolic Representation of Robots 1.1.2 The Configuration Space 1.1.3 The State Space 1.1.4 The Workspace 1.2 Robots as Mechanical Devices 1.2.1 Classification of Robotic Manipulators 1.2.2 Robotic Systems 1.2.3 Accuracy and Repeatability 1.2.4 Wrists and End-Effectors 1.3 Common Kinematic Arrangements of Manipulators 1.3.1 1.3.2 1.3.3 Articulated manipulator (RRR) Spherical Manipulator (RRP) SCARA Manipulator (RRP)

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CONTENTS

1.3.4 Cylindrical Manipulator (RPP) 1.3.5 Cartesian manipulator (PPP) 1.3.6 Parallel Manipulator 1.4 Outline of the Text 1.5 Chapter Summary Problems 2

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RIGID MOTIONS AND HOMOGENEOUS TRANSFORMATIONS 29 2.1 Representing Positions 30 2.2 Representing Rotations 32 2.2.1 Rotation in the plane 32 2.2.2 Rotations in three dimensions 35 2.3 Rotational Transformations 37 2.3.1 Similarity Transformations 41 2.4 Composition of Rotations 42 2.4.1 Rotation with respect to the current frame 42 2.4.2 Rotation with respect to the fixed frame 44 2.5 Parameterizations of Rotations 46 2.5.1 Euler Angles 47 2.5.2 Roll, Pitch, Yaw Angles 49 2.5.3 Axis/Angle Representation 50 2.6 Rigid Motions 53 2.7 Homogeneous Transformations 54 2.8 Chapter Summary 57 FORWARD AND INVERSE KINEMATICS 3.1 Kinematic Chains 3.2 Forward Kinematics: The Denavit-Hartenberg Convention 3.2.1 Existence and uniqueness issues 3.2.2 Assigning the coordinate frames 3.2.3 Examples 3.3 Inverse Kinematics 3.3.1 The General Inverse Kinematics Problem 3.3.2 Kinematic Decoupling 3.3.3 Inverse Position: A Geometric Approach 3.3.4 Inverse Orientation 3.3.5 Examples 65 65 68 69 72 75 85 85 87 89 97 98

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